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Stability of linear dynamic equations on time scales

Pages: 161 - 170, Issue Special, September 2009

 Abstract        Full Text (178.2K)              

Sung Kyu Choi - Department of Mathematics, Chungnam National University, Daejeon 305-764, North Korea (email)
Namjip Koo - Department of Mathematics, Chungnam National University, Daejeon 305-764, North Korea (email)

Abstract: In this paper we define $u_\infty$-quasisimilarity in order to unify $t_\infty$-quasisimilarity and $n_\infty$-quasisimilarity and then study the stability for solutions of linear dynamic equations on time scales by using the concept of $u_\infty$-quasisimilarity and dynamic inequality.

Keywords:  Linear dynamic equations, time scales, $h$-stability, strong stability, $u_\infty$-quasisimilarity, Gronwall's inequality
Mathematics Subject Classification:  Primary: 39A11, 39A13; Secondary: 34D23, 34K20

Received: July 2008;      Revised: June 2009;      Published: September 2009.